LIANG Lei,
YU JinHai,
ZHU YongChao et al
.2019.Recovered GRACE time-variable gravity field based on dynamic approach with the non-linear corrections Chinese Journal of Geophysics(in Chinese),62(9): 3259-3268,doi: 10.6038/cjg2019M0331
Recovered GRACE time-variable gravity field based on dynamic approach with the non-linear corrections
LIANG Lei1,2, YU JinHai1,2, ZHU YongChao3, WAN XiaoYun4, CHANG Le1,2, XU Huan1,2, WANG Kai5
1. Key Laboratory of Computational Geodynamics, Chinese Academy of Sciences, Beijing 100049, China; 2. College of Earth and Planetary Science, University of Chinese Academy of Sciences, Beijing 100049, China; 3. Shandong Jiaotong University, Jinan 250357, China; 4. School of Land Science and Technology, China University of Geosciences(Beijing), Beijing 100083, China; 5. Center for Engineering Design and Research under the Headquarters of General Equipment, Beijing 100028, China
Abstract：In this paper, the system of orbital perturbation equation is solved by using the superposition principle of solutions, and the observational equations of disturbance potential coefficients with orbital perturbation and range rate introducing non-linear correction term separately are derived. The state transition equations are solved by coordinate transformation between inertial coordinate system and moving coordinate system, the low-frequency error characteristics of the observation equations are analyzed, and the five-parameter or seven-parameter empirical formula for eliminating the low-frequency error of residual range rate is derived. In addition, the cubic spline function is proposed to deal with the low-frequency error according to the characteristic that the non-inertial force error model is segmentally calibrated. The simulation results show that the cubic spline function is slightly better than seven parameters in dealing with the low-frequency error. Finally, by processing the actual GRACE Level-1b data, the monthly time-varying gravity field model UCAS_Grace01 from January 2006 to December 2009 is solved and it can be concluded that the time-varying gravity field model computed in this paper is basically consistent with the international official institution model in accuracy by comparing in different regions.
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